540965993 has 16 divisors (see below), whose sum is σ = 581442624. Its totient is φ = 501504000.

The previous prime is 540965987. The next prime is 540966031. The reversal of 540965993 is 399569045.

540965993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 540965993 - 2⁴ = 540965977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540965923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413246 + ... + 414552.

It is an arithmetic number, because the mean of its divisors is an integer number (36340164).

Almost surely, 2^540965993 is an apocalyptic number.

It is an amenable number.

540965993 is a deficient number, since it is larger than the sum of its proper divisors (40476631).

540965993 is a wasteful number, since it uses less digits than its factorization.

540965993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 1312200, while the sum is 50.

The square root of 540965993 is about 23258.6756501741. The cubic root of 540965993 is about 814.8105713538.

The spelling of 540965993 in words is "five hundred forty million, nine hundred sixty-five thousand, nine hundred ninety-three".